# Module 4 Case

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Danford Elliott BUS 306 Quantitative Reasoning Module 4 Case Assignment 1. A card is drawn at random from a standard 52-card deck. Find the probability that the card is not a queen. Out of the deck of 52 cards only 4 of them are queens. This only leaves 48 cards. The probability of getting a card other than a queen would be 48/52 2. Two fair dice are rolled. Find the probability that the sum of the two numbers is not greater than or equal to 5. The random variable values are 2,3, and 4 2 =1,1 3=1,2; 2,1 4=1,3; 3,1; 2,2 5= 1,4; 4,1; 2,3; 3,2 There are 36 possible sum combinations for the dice The probability of the sums not being greater than is 5/18 3. This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B. The spinner itself is spun a total of 36 times, it lands on A 6 times, B 21 times and C 9 times. The empirical probability that it will land on A is 6/36, and B 21/36 and C 9/36. 21/36*100 = 58.3% of the time Probability of A = 6/36= 16.7% Probability of B = 21/36 = 58.% Probability of C = 9/36 = 25% 16.7+58.3+25 + 100 4. If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years. If you did ignore all of the leap years, the month of May has 31 days, and each year has 365 days. Out of the 365 days 344 of those days are not in May so the probability of a birthday not being in May would be 344/365 or approximately 91.5% 5. The chart below gives the number of vehicle tags sold in each city. One car is selected at random from the cars with vehicle tags from these cities. What is the probability that this car is from Bristol? There are 1773 occurrences of a car being from Salem out of a total of 12141 possible outcomes